Dirac-Proca stars
Tian-Xiang Ma, Chen Liang, Ji-Rong Ren, Yong-Qiang Wang

TL;DR
This paper numerically explores Dirac-Proca stars, revealing two solution types with variable families and analyzing their stability through binding energy and frequency relationships.
Contribution
It introduces a numerical study of Dirac-Proca stars with synchronized and non-synchronized frequencies, highlighting the transition between solution families.
Findings
Two types of solutions identified: synchronized and non-synchronized frequencies.
Solution families can shift into each other by changing parameters.
Binding energy analysis provides insights into stability of solutions.
Abstract
We consider a model consists of the Einstein gravity in four-dimensional spacetime, a Proca field and two Dirac fields through minimum coupling. By numerically solving this model, we obtain two types of solutions: synchronized frequency solutions and non-synchronized frequency solutions. We find that in the case of two kinds of matter fields, different families of solutions can be obtained in both synchronized and non-synchronized frequency cases, and the two families can shift to each other when certain parameters are changed. Moreover, we calculate the binding energy of multi-field solutions and give the relationship between binding energy and synchronized frequency (non-synchronized frequency ), so as to analyze the stability of the corresponding family.
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Taxonomy
TopicsCosmology and Gravitation Theories · Pulsars and Gravitational Waves Research · Black Holes and Theoretical Physics
